WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
- 1 February 2008
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Number Theory
- Vol. 04 (01) , 73-106
Abstract
In this paper, we will study the p-divisibility of multiple harmonic sums (MHS) which are partial sums of multiple zeta value series. In particular, we provide some generalizations of the classical Wolstenholme's Theorem to both homogeneous and non-homogeneous sums. We make a few conjectures at the end of the paper and provide some very convincing evidence.Keywords
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